Atkin-Lehner |
2- 3+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33072l |
Isogeny class |
Conductor |
33072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1744626843648 = 216 · 36 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17272,877168] |
[a1,a2,a3,a4,a6] |
Generators |
[316:5184:1] |
Generators of the group modulo torsion |
j |
139128722155513/425934288 |
j-invariant |
L |
6.6890006758023 |
L(r)(E,1)/r! |
Ω |
0.84153481380539 |
Real period |
R |
1.9871431835229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4134c2 99216bf2 |
Quadratic twists by: -4 -3 |